GCD of 427, 644, 506, 397 Calculator

Given Input numbers are 427, 644, 506, 397

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 427

List of positive integer divisors of 427 that divides 427 without a remainder.

1, 7, 61, 427

Divisors of 644

List of positive integer divisors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 397

List of positive integer divisors of 397 that divides 397 without a remainder.

1, 397

Greatest Common Divisior

We found the divisors of 427, 644, 506, 397 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 427, 644, 506, 397 is 1.

Therefore, GCD of numbers 427, 644, 506, 397 is 1

Given Input Data is 427, 644, 506, 397

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 427 is 7 x 61

Prime Factorization of 644 is 2 x 2 x 7 x 23

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 397 is 397

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(427, 644) = 39284

GCD(427, 644) = ( 427 x 644 ) / 39284

GCD(427, 644) = 274988 / 39284

GCD(427, 644) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 506

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(7, 506) = 3542

GCD(7, 506) = ( 7 x 506 ) / 3542

GCD(7, 506) = 3542 / 3542

GCD(7, 506) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 397

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 397) = 397

GCD(1, 397) = ( 1 x 397 ) / 397

GCD(1, 397) = 397 / 397

GCD(1, 397) = 1

GCD of 427, 644, 506, 397 is 1

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1. What is the GCD of 427, 644, 506, 397?

GCD of 427, 644, 506, 397 is 1

2. Where do I get the detailed procedure to find GCD of 427, 644, 506, 397?

You can find a detailed procedure to find GCD of 427, 644, 506, 397 on our page.

3. How to find GCD of 427, 644, 506, 397 on a calculator?

You can find the GCD of 427, 644, 506, 397 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.